Marszalek, Wieslaw Two-dimensional state-space discrete models for hyperbolic partial differential equations. (English) Zbl 0529.65039 Appl. Math. Modelling 8, 11-14 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 65 Documents MSC: 65K10 Numerical optimization and variational techniques 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs 35L50 Initial-boundary value problems for first-order hyperbolic systems 93C20 Control/observation systems governed by partial differential equations Keywords:two-dimensional state-space discrete models; Roesser model; finite difference method Citations:Zbl 0304.68099 PDFBibTeX XMLCite \textit{W. Marszalek}, Appl. Math. Modelling 8, 11--14 (1984; Zbl 0529.65039) Full Text: DOI References: [1] Roesser, R. P., IEEE Trans. Autom. Control, 20, 1 (1975) [2] Ciftcibasi, T.; Yuksel, O., IEEE Trans. Autom. Control, 27, 1, 193 (1982) [3] Kaczorek, T., Bull. Acad. Polon. Sci., Ser. sci. techn., XXX, 1-2 (1982) [4] Theodorou, N. J.; King, R. A., IEEE Trans. Autom. Control, 25, 2, 298 (1980) [5] Eising, R., IEEE Trans. Autom. Control, 23, 5, 793 (1978) [6] Kung, S. Y.; Levy, B. C.; Morf, M.; Kailath, T., Proc. IEEE, 65, 945 (1977) [7] Lodge, J. H.; Fahmy, M. M., IEEE Trans. Acoust. Speech Sig. Process, 30, 500 (1982) [8] Stavroulakis, P.; Paraskevopoulos, P. N., Proc. IEE, 129, 5, 193 (1982), Pt. D. [9] Kostyuk, V. I.; Azhogin, V. V.; Zgurovsky, M. Z., Avtomatika, 38 (1979), in Russian [10] Tichonov, A. N.; Samarsky, A. A., Equations of mathematical physics (1963), PWN: PWN Warsaw, in Polish [11] Isaacson, E.; Keller, H. B., Analysis of numerical methods (1966), John Wiley: John Wiley New York · Zbl 0168.13101 [12] Tzafestas, S. G.; Pimenides, T. G., Int. J. Syst. Sci., 13, 10, 1171 (1982) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.